200+ Probability-and-statistics Questions

Probability-and-statistics Questions Set 8:

Quiz Mode

In a Poisson distribution of tossing a biased coin, the mean is observed to be μ. What is the standard deviation for this distribution?

μ^2

μ^-1

√μ

Solution:

On a vacation, Rahul visits four cities: A, B, C, and D in random order. What is the probability that he visits A before B?

1/2

3/2

3/4

None of the above

Solution:

If the covariance between variables X and Y is 18, and the variances of X and Y are 25 and 36 respectively, find the coefficient of correlation.

0.72

0.5

0.6

0.83

Solution:

If A is a subset of B, then the probability of A is:

None of these

Greater than the probability of B

Equal to the probability of B

Less than the probability of B

Solution:

A fair coin is tossed 3 times in succession. If the first toss produces a tail, what is the probability of getting exactly 2 tails in the 3 tosses?

1/8

1/2

3/8

3/4

Solution:

A structure has 4 gates that operate independently. The probability of failure of each gate is 0.1. Given that gate 1 has failed, the probability that both gates 2 and 3 will fail is

0.140

0.200

0.010

0.008

Solution:

The probability that a student answers a question wrong is 1/10. If the student answers 12 such questions in 'Abekus Play', find the probability that they have answered only 2 questions wrong.

0.3409

0.2301

0.2824

0.3834

Solution:

The length of telephone conversations in a booth has an exponential distribution and is found, on average, to be 5 minutes. What is the probability that a random call made from this booth ends in less than 5 minutes?

0.561

0.632

0.789

0.145

Solution:

Between the hours of 1 p.m. and 3 p.m., the average number of phone calls per minute coming into the switchboard of a company is 3.2. Find the probability that during one particular minute there will be no phone calls at all.

0.13

0.04

0.433

Solution:

A person has a choice between private car and public transport. The probability of choosing a private car is 0.45. While using public transport, further choices are available (Bus and Train), out of which the probability of commuting by bus is 0.55. What are the probabilities of using a car, bus, and train?

0.45, 0.30, 0.25

0.45, 0.25, 0.30

0.45, 0.55, 0

0.45, 0.35, 0.20

Probability-and-statistics Questions Set 8:

In a Poisson distribution of tossing a biased coin, the mean is observed to be μ. What is the standard deviation for this distribution?

Solution:

On a vacation, Rahul visits four cities: A, B, C, and D in random order. What is the probability that he visits A before B?

Solution:

If the covariance between variables X and Y is 18, and the variances of X and Y are 25 and 36 respectively, find the coefficient of correlation.

Solution:

If A is a subset of B, then the probability of A is:

Solution:

A fair coin is tossed 3 times in succession. If the first toss produces a tail, what is the probability of getting exactly 2 tails in the 3 tosses?

Solution:

A structure has 4 gates that operate independently. The probability of failure of each gate is 0.1. Given that gate 1 has failed, the probability that both gates 2 and 3 will fail is

Solution:

The probability that a student answers a question wrong is 1/10. If the student answers 12 such questions in 'Abekus Play', find the probability that they have answered only 2 questions wrong.

Solution:

The length of telephone conversations in a booth has an exponential distribution and is found, on average, to be 5 minutes. What is the probability that a random call made from this booth ends in less than 5 minutes?

Solution:

Between the hours of 1 p.m. and 3 p.m., the average number of phone calls per minute coming into the switchboard of a company is 3.2. Find the probability that during one particular minute there will be no phone calls at all.

Solution:

Solution:

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